Injectivity analysis using interval analysis: Application to structural identifiability

This paper presents a new numerical algorithm based on interval analysis able to prove that a differentiable function f : A Rn Rn is injective. This algorithm also performs a partition of the domain A in subsets Ai where, for all x Ai, the cardinality of f-1 (f(x)) is constant. In the context of parameter estimation, we show how this algorithm provides an efficient and numerical method to study the structural identifiability of parametric models. Key words: Injectivity, parametric system, structural identifiability, interval analysis.

• Type: Journal
• Year: 2008
• Where: AUTOMATICA
• Authors: Sebastien Lagrange, Nicolas Delanoue, Luc Jaulin
• Keywords: AUTOMATICA 2008, Interval Analysis, Numerical, Structural Identifiability